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If a baseball card appreciates exponentially in value by 50% over 10 years, what is its annual appreciation (growth) rate? Pleas

Natali [406]

Using an exponential function, it is found that it's annual growth rate is of 4%.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

$A(t) = A(0)(1 + r)^t$

In which:

A(0) is the initial value.

r is the growth rate, as a decimal.

In this problem, the card appreciates exponentially in value by 50% over 10 years, hence:

A(10) = 1.5A(0).

Thus:

$A(t) = A(0)(1 + r)^t$

$1.5A(0) = A(0)(1 + r)^{10}$

$(1 + r)^{10} = 1.5$

$\sqrt[10]{(1 + r)^{10}} = \sqrt[10]{1.5}$

1 + r = 1.04.

r = 0.04.

0.04 x 100% = 4%.

It's annual growth rate is of 4%.

More can be learned about exponential functions at brainly.com/question/25537936

7 0

3 years ago

Look at the quadratic equation below. x2 - 10x + 16 = -5 What is this quadratic equation written in standard form? A.5x2 + 10x -

ollegr [7]

Ax^2+bx+c=0 is the standard form, so we add 5 to both sides to get

1*x^2+(-10)x+21=0

7 0

3 years ago

A tourist group arrived at the boat dock for a boat ride in the morning. There were 252 people in the group. Another tourist gro

seraphim [82]

Okay, so to get the answer we have to divide.

252(morning group) divided by 36 = 7 trips

288(afternoon group) divided by 36= 8 trips

7 + 8 =
Answer: 15trips

8 0

4 years ago

How much pure acid is in 440 milliliters of a 19% solution

ArbitrLikvidat [17]

Answer:

83.6 mL

Step-by-step explanation:

Given 440 mL of 19% acid solution. This means the whole volume of this acid solution is 100%. Let x mL be the volume of pure acid in this solution.

Then

$440\ mL - 100\%\\ \\x\ mL - 19\%$

Write a proportion:

$\dfrac{440}{x}=\dfrac{100}{19}$

Cross multiply:

$100\cdot x=440\cdot 19\\ \\x=\dfrac{440\cdot 19}{100}\\ \\x=\dfrac{8,360}{100}\\ \\x=83.60\ mL$

7 0

3 years ago

Find the mean, range, and interquartile range of the heights of plants given

Artist 52 [7]

Answer:

Mean = 30.9

Range = 80

Interquartile Range = 36

Step-by-step explanation:

The mean of a set of numbers is the sum divided by the number of terms. In other words that means 2, 22, 4, 36, 82, 44, 65, 30, 8, 16 go over a fraction like this. There are 10 numbers here so this is our denominator.

$\frac{2+ 22 + 4 + 36 + 82 + 44 + 65 + 30 + 8 + 16}{10}$